GCD of 444, 312, 29, 790 Calculator

Given Input numbers are 444, 312, 29, 790

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 444, 312, 29, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 312, 29, 790 is 1.

Therefore, GCD of numbers 444, 312, 29, 790 is 1

Given Input Data is 444, 312, 29, 790

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 29 is 29

Prime Factorization of 790 is 2 x 5 x 79

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(444, 312) = 11544

GCD(444, 312) = ( 444 x 312 ) / 11544

GCD(444, 312) = 138528 / 11544

GCD(444, 312) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 29

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 29) = 348

GCD(12, 29) = ( 12 x 29 ) / 348

GCD(12, 29) = 348 / 348

GCD(12, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 444, 312, 29, 790 is 1

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• GCD of 656, 799, 53, 511
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1. What is the GCD of 444, 312, 29, 790?

GCD of 444, 312, 29, 790 is 1

2. Where do I get the detailed procedure to find GCD of 444, 312, 29, 790?

You can find a detailed procedure to find GCD of 444, 312, 29, 790 on our page.

3. How to find GCD of 444, 312, 29, 790 on a calculator?

You can find the GCD of 444, 312, 29, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.